Approximate resolution of linear systems of differential equations with varying coefficients is
a recurrent problem, shared by a number of scientific and engineering areas, ranging from …

Many differential equations of practical interest evolve on Lie groups or on manifolds acted
upon by Lie groups. The retention of Lie-group structure under discretization is often vital in …

This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …

Inverse eigenvalue problems arise in a remarkable variety of applications and associated
with any inverse eigenvalue problem are two fundamental questions—the theoretical issue …

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …

We present real-time density functional calculations of finite-bias conductance in a
polyacetylene molecular wire. Our approach is based on a novel, efficient method for …

We develop a Magnus expansion well suited for Floquet theory of linear ordinary differential
equations with periodic coefficients. We build up a recursive scheme to obtain the terms in …

Numerical methods based on the Magnus expansion are an efficient class of integrators for
Schrödinger equations with time-dependent Hamiltonian. Though their derivation assumes …

Any logical procedure that is used to reason or to infer either deductively or inductively, so
as to draw conclusions or make decisions, can be called, in a broad sense, a realization …

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …